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Finding the Fourth Proportional to 403,201.94, 604,384.56 and 200,663.87

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Solution

The fourth proportional to 403,201.94, 604,384.56 and 200,663.87 is: 300,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,201.94 : 604,384.56 = 200,663.87 : x
  2. Step 2: Convert to fraction form
    403,201.94/604,384.56 = 200,663.87/x
  3. Step 3: Cross multiply
    403,201.94x = 604,384.56 × 200,663.87
  4. Step 4: Simplify right side
    403,201.94x = 121,278,141,755.92
  5. Step 5: Solve for x
    x = 121,278,141,755.92/403,201.94
  6. Step 6: Final answer
    x = 300,787.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.